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We numerically examine a single skyrmion dynamics under the influence oftriangular and honeycomb obstacle arrays at zero temperature. The skyrmion Hallangle $\theta_{sk}$, that is the angle between the applied external drive andthe direction of the skyrmion motion, increases in quantized steps orcontinuously as a function of the applied drive. For the obstacle arraysstudied in this work, the skyrmion exhibits two main directional lockingeffects, where the skyrmion motion locks with $\theta_{sk}=-30^\circ$ and$-60^\circ$. We show that these directions are privileged due to the obstaclelandscape symmetry, where there are channels that the skyrmion may move withless or no obstacle collisions. Besides that, the skyrmion Hall angles can bemodified by changing the obstacle density in the sample, where some dynamicphases may appear, vanish or be stimulated. This interesting behavior can beuseful to guide skyrmions using regions with different obstacle densities toset the skyrmion into designed trajectories. We have also investigated forfixed obstacle densities how the phases with $\theta_{sk}=-30^\circ$ and$-60^\circ$ evolve as a function of the Magnus force, where possibilities forswitching between these phases and topological selection is discussed.

Directional Locking and the Influence of Obstacle Density on Skyrmion Dynamics in Triangular and Honeycomb Arrays